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12656343040 = 211511112361
BaseRepresentation
bin10111100100110000…
…00111100000000000
31012200001010211201221
423302120013200000
5201410010434130
65451513204424
7625431066205
oct136230074000
935601124657
1012656343040
1154051a2940
122552700714
1312691299a3
14880c6dcac
154e11bc87a
hex2f2607800

12656343040 has 96 divisors (see below), whose sum is σ = 33128812080. Its totient is φ = 4602265600.

The previous prime is 12656343019. The next prime is 12656343043. The reversal of 12656343040 is 4034365621.

It is a junction number, because it is equal to n+sod(n) for n = 12656342987 and 12656343005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12656343043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56460 + ... + 168820.

Almost surely, 212656343040 is an apocalyptic number.

12656343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12656343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564406040).

12656343040 is an abundant number, since it is smaller than the sum of its proper divisors (20472469040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12656343040 is a wasteful number, since it uses less digits than its factorization.

12656343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112399 (or 112379 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 12656343040 in words is "twelve billion, six hundred fifty-six million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 11264 14080 22528 28160 56320 112361 112640 224722 449444 561805 898888 1123610 1235971 1797776 2247220 2471942 3595552 4494440 4943884 6179855 7191104 8988880 9887768 12359710 14382208 17977760 19775536 24719420 28764416 35955520 39551072 49438840 57528832 71911040 79102144 98877680 115057664 143822080 158204288 197755360 230115328 287644160 316408576 395510720 575288320 632817152 791021440 1150576640 1265634304 1582042880 2531268608 3164085760 6328171520 12656343040